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Finding the Fourth Proportional to 130,420.86, 179,987.52 and 73,056.78

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Solution

The fourth proportional to 130,420.86, 179,987.52 and 73,056.78 is: 100,822.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,420.86 : 179,987.52 = 73,056.78 : x
  2. Step 2: Convert to fraction form
    130,420.86/179,987.52 = 73,056.78/x
  3. Step 3: Cross multiply
    130,420.86x = 179,987.52 × 73,056.78
  4. Step 4: Simplify right side
    130,420.86x = 13,149,308,651.39
  5. Step 5: Solve for x
    x = 13,149,308,651.39/130,420.86
  6. Step 6: Final answer
    x = 100,822.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.